If f(x) = 2x + 1 and g(x) = x^2 find g(f(3))
49
19
7
13

  49

Step-by-step explanation:

Put the numbers in place of the variables and do the arithmetic.

  g(f(3)) = g(2·3 +1) = g(7) = 7²

  g(f(3)) = 49

a

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4